073103-3
Chen et al.
Appl. Phys. Lett. 98, 073103 ͑2011͒
the two Ge-ncs is about 10 nm, much smaller than the cal-
culated Debye length. This leads us to infer that there may be
some other mechanism of uniform nucleation.
tem back to a metastable state and then activating the mass
transfer processes during the transition from this metastable
state back to the stable ͑crystallized͒ state, nanocrystal size
uniformity was improved. We report a method that creates
semiconductor Ge quantum dots with high uniformity and
high density, showing promising applications in three-
dimensional nanofabrication.
Followed by the 74Ge ion implantation, primary thermal
annealing, neutron irradiation, and a subsequent reannealing,
the nucleation mechanism of As-doped Ge-ncs is extraordi-
narily complex, including damage-enhanced diffusion and
interfacial-energy effects. Nonetheless, the size distributions
become more uniform after introducing As into Ge-ncs. The
local high-temperature nucleates Ge ions into Ge-ncs after
Ge-ion implantation. Annealing due to the minimum energy
principle is then carried out, because the Gibbs free energy
of a nanoparticle aggregated from ions is much lower than
the energy sum of these ions. The dopant atoms are usually
not in their lattice positions but displaced in interstitial posi-
tions or isolated points due to the recoil produced by the ␥-
and -particles and the lower formation energy in Ge-nc
interstitial sites. After irradiation, As separates from Ge-ncs
and creates more nucleation sites. Due to the large repulsion
force between As atoms and Ge-ncs, the As nucleation sites
are 3D positional uniform. In addition to producing As do-
nors, the neutron irradiation shakes and breaks the Ge-ncs,
which becomes amorphous state, introducing more defects.
The irradiated samples were subjected to the second anneal-
ing to eliminate any irradiation-induced defects and to re-
crystallize the Ge-ncs around the As nucleation center. There
are counterbalances between nucleation and spinodal decom-
position during nanocrystal formation. During the process of
nucleation, each Ge nanocrystal in samples deforms laterally
to match the amorphous SiO2 substrate. The deformation in-
duces a tensile stress region in the substrate below. Accord-
ing to the calculation, the distortion of Ge-ncs is larger after
As doping, as shown in Fig. 2͑a͒. Doping with As leads to
greater charge cloud density and distortion. The strain fields
from misfit dislocation make the sizes and spacing of sample
more uniform.
This project was supported by the NASF of NSFC-
CAEP of China ͑Grant No. 10376020͒, the Program for New
Century Excellent Talents in University ͑Grant No. NCET-
04-0874͒, and Sichuan Youth Science & Technology Foun-
dation, China ͑Grant No. 08ZQ026-025͒. We thank Dr.
Levchenko and Professor Ostrikov at CSIRO Material Sci-
ence and Engineering of Australia for their helpful discus-
sion.
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